Which of the following statements is true?

Correct option is C

Solution:

Option A: "HCF of fractions = $$\frac{\text{LCM of numerators }}{\text{ HCF of denominators}}$$​​

Incorrect : This formula is reversed. The correct formula for the HCF of fractions is $$\frac{\text{HCF of numerators }}{\text{ LCM of denominators}}$$​, not $$\frac{\text{LCM of numerators }}{\text{ HCF of denominators}}.$$​​

Option B: "LCM of fractions =$$\frac{\text{HCF of numerators }}{\text{ LCM of denominators}}$$​"

Incorrect : This is not the correct formula for the LCM of fractions. The correct formula for the LCM of fractions is $$\frac{\text{LCM of numerators }}{\text{ HCF of denominators}}.$$​.

Option C: Correct statement because it properly expresses the formula for the HCF of fractions:

​$$\text{HCF of fractions} = \frac{\text{HCF of numerators}}{\text{LCM of denominators}}$$

Option D: "The numbers are said to be co-prime if their LCM is 1"

Incorrect : The definition of co-prime numbers is that their HCF is 1, not their LCM. The LCM of two co-prime numbers is greater than 1, and their HCF is 1.

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